A brass disc at a `20^@C` has a diameter of 30 cm and a hole cut in the centre is 10 cm in diameter. Calculate the diameter of the hole when temperature of the disc is raised to `50^@C`. The coefficient of linear expansion of brass= 0.000018 `per^@C`.

If a cylinder of diameter of 1 cm at 30^@C is fitted into a hole of diameter 0.9997 cm in a steel plate, find the temperature the fitting has to be done ? Co.eff.of linear expansion of steal is 12 xx 10^(-6)//^@ C

The volume of metalic ball is 100 cc at 0^@C . When its temperature is raised to 150^@C , its volume becomes 100 .81 cc . Find the coefficient of linear expansion of the metal.

A steel rod is 3.000 cm in diameter at 25^@C . A brass ring has an interior diameter of 2.992 cm at 25^@C . At what common temperature will the ring just slide onto the rod ? (Coefficient of linear expansion of steel= 12 xx 10^(-6) per k and coefficient of linear expansion of brass= 18 xx 10^(-6) per k) .

An iron plate has a circular hole of diameter 10 cm . Find the diameter of the hole when the plate is uniformly heated from 10^@C to 90^@C (alpha = 12 xx 10^(-6)//^@C) .

A metal rod of length 50cm at 20^@C is heated to 95^@C . It's length becomes 50.06cm.Find the coefficient of linear expansion and length of the rod at 0^@C .

A weight thermometer contains 500 gram of mercury at 0^@C . What mass of mercury will overflow if the temperature is raised up to 100^@ C . Co-efficient of real expansion of mercury is 0.00018//^@C . Co -efficient of linear expansion of glass is 0.00001//^@C .

The height of a barometer, having a brass scale, which is correct at 0^@C is 76.09 cm at 17.8^@C . Find the true height at 0^@C . Coefficient of linear expansion of brass is 0.000019//^@C and cubical expansion of mercury is 0.00018 .

A rod A and a rod B of different materials differ in length by 5 cm at all temperatures . What are their lengths at 0^@C if the coefficients of linear expansion of A and B are 12 xx 10^(-6)//^@C and 18 xx 10^(-6)//^@C respectively ?